https://file.aiquickdraw.com/mathbot/file/1725061488775k954movu.jpg

The image shows a graph of a line that extends indefinitely in both directions, passing through the coordinate plane.

### Domain:
Since the line extends infinitely in both the positive and negative directions along the \(x\)-axis, the domain includes all real numbers.
\[
\text{Domain} = (-\infty, \infty)
\]

### Range:
Similarly, the line also extends infinitely in both the positive and negative directions along the \(y\)-axis, so the range includes all real numbers.
\[
\text{Range} = (-\infty, \infty)
\]

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you determine the slope of the line from the graph?
2. What is the equation of this line in slope-intercept form (\(y = mx + b\))?
3. How does the domain and range change if the line is restricted to a segment?
4. What would happen to the domain and range if the line were vertical or horizontal?
5. How can you tell from the graph whether a line will have infinite domain and range?

**Tip:** Always consider whether a graph shows a line segment, a ray, or an entire line to accurately determine the domain and range.

Explore the domain and range of linear functions with a detailed explanation and graph analysis. Learn how to determine the domain and range of a line extending infinitely in both directions along the coordinate plane.

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